对电磁波的振幅、相位、偏振、频率等自由度的任意操控，一直是光学研究最基本的内容之一。结构光场在实位置空间上对光场的一个或者几个自由度进行特殊调控，产生了诸如涡旋光束、柱矢量光束、艾利光束、贝塞尔光束等一系列具有特殊用途的稳定光场，大大拓展了光学应用的范围。但是，传统的结构光场的产生方法都离不开实位置空间上非周期且非均匀的光学元件的支持。这样就要求在实际的产生过程中必须进行精确的光路对准，且相应的光学元件必须保证极高的加工精度，从而增加了实验的难度。本项目将基于周期性的光子Weyl结构，从原理上探索不使用实位置空间上非周期且非均匀的光子结构来产生结构光场的方法，最终通过在动量空间上实现对光场一个或多个自由度的调控，使结构光场的产生不再需要进行空间位置的对准。本项目的完成，不仅能够降低实际应用中结构光场产生对光路对准、元件加工精度的要求，而且能够开拓出一个拓扑光子结构应用的新方向。

Manipulating the amplitude, phase, polarization, and frequency of electromagnetic waves is one the basic content of optical study. Structured lights are the customized light fields in one or several of these degree of freedoms, such as vortex beams, cylindrical vector beams, Airy beams, and Bessel beams, which enabled a plenty of special optical functions and broadened the research realm of optical application. However, the generation of structured fields is conventionally based on optical devices with inhomogeneous and aperiodic structures in real position space. Therefore, experiments of generating structured lights must be well aligned in position space and the devices should be fabricated with high precision, which makes the related experiments more difficult. In this project, we will explore the principle of producing complex structured light based on periodic photonic Weyl structures but inhomogeneous and aperiodic structures, and make the position alignment no longer necessary for producing structured lights by realizing the manipulation of one or several degree of freedoms in momentum space. The implementation of this proposal will not only reduce the requirements of device aligning and processing precision in practical optical applications, but will direct a new way of the application of topological photonic structures.